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Current issue   Ukr. J. Phys. 2015, Vol. 59, N 10, p.1013-1019
https://doi.org/10.15407/ujpe59.10.1013    Paper

Gaponova O.P.1, Kolosiuk A.G.2

1 1 Sumy State University
(2, Rimskii-Korsakov Str., Sumy 40007, Ukraine; e-mail: gaponova_op@mail.ru)
2 Institute of Physics, Nat. Acad. of Sci. of Ukraine
(46, Prosp. Nauky, Kyiv 03680, Ukraine; e-mail: anjey.k@gmail.com)

Researches of Diffusion Processes in Powder Materials and their Role in Structure Formation

Section: Solid matter
Original Author's Text: Ukrainian

Abstract: The equation of Fick’s second law describing the diffusion in a porous powder body is solved in the framework of the Green’s function method. The proposed mathematical model allowed the influence of the temperature, deformation rate, and porosity of a material on the diffusion coefficient to be analyzed. The microstructure of copper-titanium specimens after the sintering and a plastic deformation is studied. The increase in the temperature, as well as in the rate and the degree of a deformation, is found to promote the alloy homogenization.

Key words: diffusion, plastic deformation, powder body, powder copper-titanium material.


  1. V.V. Skorokhod and S.V. Solonin, Physico-Metallurgical Principles of Powder Sintering (Metallurgiya, Moscow, 1984) (in Russian).
  2. V.N. Antsiferov, E.Yu. Eremina, S.N. Peshcherenko, A.I. Rabinovich, and V.D. Khramtsov, Poroshk. Metallurg. 4, 42 (1987).
  3. Ya.E. Geguzin, V.V. Bogdanov, and L.N. Paritskaya, Poroshk. Metallurg. 9, 27 (1989).
  4. I.I. Ivanova, A.N. Demidik, and A.A. Sotnik, Poroshk. Metallurg. 3/4, 58 (2001).
  5. O.P. Gaponova and L.A. Ryabycheva, Visn. Skhidnoukr. Nats. Univ. 6, 116 (2008).
  6. Ya.E. Geguzin, Physics of Sintering (Nauka, Moscow, 1984) (in Russian).
  7. M. Sucheska, A. Borisovich, and W. Serbinski, Adv. Mater. Sci. 5, 75 (2005).
  8. V.Ya. Arsenin, Methods of Mathematical Physics and Special Functions (Nauka, Moscow, 1984) (in Russian).
  9. Ya.B. Zel'dovich and A.D. Myshkis, Elements of Mathematical Physics (Nauka, Moscow, 1973) (in Russian).
  10. L. Ryabicheva and O. Gaponova, in Proceedings of the Intern. Conference on Deformation and Fracture in Structural PM Materials DF PM 2008 (Stara Lesna, High Tatras, 2008), p. 202.
  11. I.B. Borovski, K.P. Gurov, I.D. Marchukova, and Y.E. Ugaste, Interdiffusion in Alloys (Amerind, New Delhi, 1986).
  12. Phase Diagrams of Binary Metallic Systems, edited by N.P. Lyakishev (Mashinostroenie, Moscow, 1999 (in Russian), Vol. 2.
  13. H.F. Fischmeister and L.E. Larsson, Powder Metal 17, 227 (1974).
  14. I. Kaur and W. Gust, Fundamentals of Grain and Interphase Boundary Diffusion (Ziegler Press, Stuttgart, 1989).
  15. S.S. Gorelik, Recrystallization in Metals and Alloys (Mir, Moscow, 1981).